3 papers
math.AT2024
Connected power operations and simplicial Poincaré duality
Federico Cantero-Morán, Aníbal Medina-Mardones
We introduce a structure termed ``connected cyclic diagonal'' on a chain complex, which induces stable power operations in its cohomology with the property that negative power oper…
math.AT2023
An effective proof of the Cartan formula: Odd primes
Federico Cantero-Morán, Anibal Medina-Mardones
The Cartan formula relates the cup product and the action of the Steenrod algebra on mod~ cohomology. For any pair of mod cocycles in a simplicial set, where is an odd p…
math.AT2019
An effective proof of the Cartan formula: the even prime
Anibal M. Medina-Mardones
The Cartan formula encodes the relationship between the cup product and the action of the Steenrod algebra in -cohomology. In this work, we present an effective proof…